Begin by placing the chicken breasts between two sheets of plastic wrap. Using a meat mallet, gently pound them until they are about 1/2 inch thick. This ensures even cooking and tenderness. Season both sides with salt and cracked pepper.
In a shallow dish, combine the tapioca flour, parmesan cheese (if using), salt, and pepper. Dredge each chicken fillet in the mixture, ensuring they are well-coated. This will help create a nice crust when cooked.
In a large skillet, heat the sun-dried tomato oil over medium heat. Once hot, add the chicken fillets and cook for about 4-5 minutes per side, or until they are golden brown and cooked through. Remove the chicken from the skillet and set aside.
In the same skillet, add the minced garlic and sliced mushrooms. Sauté for about 3-4 minutes, or until the mushrooms are tender. Add the sun-dried tomato strips and the reserved oil from the jar, stirring to combine.
Pour in the evaporated milk and bring the mixture to a gentle simmer. In a small bowl, mix the corn starch with 2 tablespoons of milk and whisk until smooth. Gradually add this mixture to the skillet, stirring continuously until the sauce thickens.
Return the chicken to the skillet, spooning the sauce over the top. If desired, sprinkle in the Italian herbs for extra flavor. Allow everything to heat through for a couple of minutes. Serve hot, garnished with fresh basil and additional parmesan cheese if desired.